An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms

Nguyen Van Khang, Nguyen Phong Dien, Nguyen Sy Nam
Author affiliations

Authors

  • Nguyen Van Khang Hanoi University of Science and Technology, Vietnam
  • Nguyen Phong Dien Hanoi University of Science and Technology, Vietnam
  • Nguyen Sy Nam Hanoi University of Science and Technology, Vietnam

DOI:

https://doi.org/10.15625/0866-7136/38/1/5928

Keywords:

Steady-state vibration, elastic mechanism, Newmark integration metho, mode superposition method, dynamic stability

Abstract

This paper proposes a numerical procedure based on the well-known Newmark integration method to determine initial conditions for the periodic solution of a system of linear differential equations with time-periodic coefficients. Based on this, steady-state periodic vibrations of mechanisms with elastic elements governed by linearized differential equations with time-periodic coefficients can be conveniently calculated. The proposed procedure is demonstrated by a dynamic model of a planar four-bar mechanism with the flexible coupler.

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Published

15-03-2016

Issue

Section

Research Article

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